How to Solve Optimization Problems in 5 Steps :: Calculus Walk / Swim Word Problem Example

What are calculus optimization problems and how are they solved? In this video I discuss the application of calculus known as optimization problems. This video describes the properties of an optimization problem, how to solve an optimization problem in 5 steps, and how those steps are applied in an example word problem. The example problem involves finding the minimum travel time of a person traveling from a beach to an island through a combination of walking and swimming. Video table of contents: 0:00 Introduction 0:30 What are Optimization Problems? 1:10 5 Steps to Optimization Problems 3:15 Optimization: An Example Problem 4:07 Step 1 - Draw and Label a Diagram 5:43 Step 2 - Write an Equation in Terms of a Single Variable 12:20 Step 3 - Differentiate the Equation 15:03 Step 4 - Set the Derivative Equal to Zero 22:20 Step 5 - Interpret the Result If you have any questions, feel free to ask in the comments section.